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Finding the Fourth Proportional to 83,689.81, 115,483.93 and 47,392.90

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Solution

The fourth proportional to 83,689.81, 115,483.93 and 47,392.90 is: 65,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,689.81 : 115,483.93 = 47,392.90 : x
  2. Step 2: Convert to fraction form
    83,689.81/115,483.93 = 47,392.90/x
  3. Step 3: Cross multiply
    83,689.81x = 115,483.93 × 47,392.90
  4. Step 4: Simplify right side
    83,689.81x = 5,473,117,938.90
  5. Step 5: Solve for x
    x = 5,473,117,938.90/83,689.81
  6. Step 6: Final answer
    x = 65,397.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.